An approximation for solving the non-LTE line transfer in a spatially correlated random velocity field

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Radiative Transfer, Spectral Line Width, Stellar Spectra, Thermodynamic Equilibrium, Turbulence Effects, Velocity Distribution, Approximation, Astronomical Models, Atmospheric Turbulence, Line Spectra, Nonequilibrium Radiation, Stochastic Processes

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A solution is obtained to the non-LTE line transfer problem in the presence of random nonthermal velocities. The correlation length of the turbulence is taken into account, therewith closing the gap between the microturbulence (vanishing correlation length) and the macroturbulence (infinite correlation length). The medium is assumed to be broken down into uncorrelated rigid cells. The essence of the approximation introduced is the following: once a photon has been absorbed in a cell, it 'forgets' the cells previously crossed. This permits us to replace the initial cells by 'effective cells' and to work only with the averaged intensity of the radiation field. It is shown that this 'effective cells approximation' is extremely well adapted to the method of addition of layers. Illustrative numerical examples are given for two-level atoms in finite slabs with two directions of propagation. The results are easily described in terms of a continuous sequence from the macroturbulent case up to the microturbulent case when the number of turbulent eddies increases. Transitions from one case to the other require consideration of three scales: the eddy size, the thermalization length, and the mean free path of a photon at the line center.

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